A metal rod of length expands by when its temperature is raised by

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A metal rod

A

of length

l_0

expands by

\Delta l

when its temperature is raised by

100^{\circ}\text{C}

. Another rod

B

of different metal of length

2l_0

expands by

\Delta l/2

for same rise in temperature. A third rod

C

of length

3l_0

is made up of pieces of rods

A

and

B

placed end to end expands by

2\Delta l

on heating through

100 \text{ K}

. The length of each portion of the composite rod is: (a)

\frac{5}{3}l_0, \frac{4}{3}l_0

(b)

l_0, 2l_0

(c)

\frac{3l_0}{2}, \frac{3l_0}{2}

(d)

\frac{2}{3}l_0, \frac{7}{3}l_0